Mensuration Practice Test 9

Question : 2 of 40

Marks: +1, -0

A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone, then the height of the circular cylinder is:

2h
${2h}/3$
4h
${3h}/2$

Validate

Solution:

1/3 πr^3h + πr^2H

3(1/30πr^2h)

πr^2({1h}/3+H)

πr^2h

{1h}/3 + H

= h
H =

h-{1h}/3

H =

{2h}/3

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